If `n` persons are seated on a round table, what is the probability that two named individuals will be neighbours?

12 persons are seated around a round table. What is the probability that two particular persons sit together?

In how many ways can 6 persons be seated at a round table?

No.of ways 15 persons be seated round a table if there are 7 seats,is

Statement 1: the number of ways in which n persons can be seated at a round table,so that all shall not have the same neighbours in any two arrangements is (n-1)!/2. Statement 2: number of ways of arranging n different beads in circles is (n-1)!/2 .

Twenty persons among whom A and B, sit at random around a round table,then the probability that there are any 6 persons between A and B is